Given that events A and B are independent with P(A)=0.34P(A)=0.34 and P(A\text{ and }B)=0.034P(A and B)=0.034, determine the value of P(B)P(B), rounding to the nearest thousandth, if necessary.

Answer: [tex]0.0756,\ 0.7599[/tex]

Step-by-step explanation:

Given

Probability that a coin will land head is [tex]0.3[/tex] i.e. probability of success is [tex]p=0.3[/tex] So, the probability of failure is [tex]q=1-0.3=0.7[/tex]

Using Binomial distribution for [tex]n=4[/tex]

(a) Probability that the coin will lead heads exactly 3 times

[tex]\Rightarrow P(3)=^4C_3(0.3)^3(0.7)^1\\\Rightarrow P(3)=4\times 0.7\times (0.3)^3\\\Rightarrow P(3)=0.0756[/tex]

(b)Probability that the coin lands head at least once

[tex]\Rightarrow 1-P(0)\\\Rightarrow 1-^4C_0(0.3)^0(0.7)^4\\\Rightarrow 1-1\cdot(0.7)^4\\\Rightarrow 0.7599[/tex]

Answer:

The cylinder with a height of 7.0 cm and a diameter of 10.0 cm

Step-by-step explanation:

v = πr²h

---------------------

cylinder with a height of 10.0 cm and a diameter of 7.0 cm

v = π(3.5²)10

v = 384.65 cm³

cylinder with a height of 7.0 cm and a diameter of 10.0 cm

v = π(5²)7

v = 549.5 cm²

549.5 > 384.65

The second cylinder holds more

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]

[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]

[tex]59^\circ+m\angle I=180^\circ[/tex]

[tex]m\angle I=180^\circ-59^\circ[/tex]

[tex]m\angle I=121^\circ[/tex]

According to Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]

[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]

[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]

Multiply both sides by 0.8572.

[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]

[tex]530.44554=i[/tex]

[tex]i\approx 530[/tex]

Therefore, the length of i is about 530 inches.

Answer:

x =-16

Step-by-step explanation:

Given the equation

-3x - 21 = 27

We are to find the next step in solving the equation

Step 1: Add 21 to both sides

-3x - 21 + 21 = 27 + 21

-3x = 48

Step 2: Divide both sides by -3

-3x/3 = 48/3

-x = 16

x = -16

Hence the value of x is -16

Answer: 12

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-2 - (-7)]² + (7 - 5)²

√(5)² + (2)²

√25 + 4

√29

= 5.4

Answer:

a b c and f

Step-by-step explanation:

rectangle parallelogram square and rhombus

Answer:

t = 35/12

Step-by-step explanation:

t - 7/4 = 2/5 t

t = 2/5 t + 7/4

t - 2/5 t = 7/4

t*(1-2/5) = 7/4

t*3/5 = 7/4

t = (7/4)/(3/5)

t = 7*5/4*3

t = 35/12

Answer:

f(9) = 4

Step-by-step explanation:

Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then

The value of f(9) = 4

Answer:

(1,3)

Step-by-step explanation:

It is the intercept of the two lines

Answer:

?

Step-by-step explanation:

Answer:

2nd choice

Step-by-step explanation:

Look at the radical, if two radicals can add, they must have the same root. The answer must also have the same root.

Answer:

B on edge

Step-by-step explanation:

Answer:

Part 1: She will make $1,944.00 In 4 days.

Part 2: 0.38

Answer: Acres he can plant with the remaining seeds

Step-by-step explanation: hope this helps sry if wrong pls don’t be mad but if right you welcome

A small rectangle, large rectangle, a small rectangle

Also, just as a tip- for Schoology, to edit the doc/slide in the normal way, press "edit" and let the document open in a new tab. To submit, go back to the screen you're on right now, and submit as usual

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.

So Height of the cylinder (h)= 28 cm

Circumference of the base of a cylinder

Answer: -14, -7, -4, -2, 0, 1, 8

Step-by-step explanation:

Answer:

-14, -7, -4, -2, 0, 1, 8

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

We need to find the value of x the given equation: 3x-2=x+8

the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side

here's the equation:

3x-2=x+8

first, add 2 to both sides

3x-2=x+8

   +2   +2

___________

3x=x+10 (2 goes away on the left side, as -2+2=0)

now, subtract x from both sides

3x=x+10

-x   -x

______

2x=10 (x goes away on the right side, as x-x=0)

we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)

divide both sides by 2

x=5 (because 2x/2=1x, or x. 10/2=5).

therefore, the value of x is 5

Hope this helps!

Answer:

2.5 per Caramel apple , just divide it , I hope that's correct and I'm sorry if it's not.

Answer:

2 dollars

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Given

A = (1/4, 3)

B = (1/2, 4.5)

To get the coordinate of C as 7/4, what was done was to first take the difference in the x coordinates and then dilate the result by 7

To get the y coordinate;

Difference = 3 - 4.5

Difference = -1.5

This is done y multiplying the result by 7;

y coordinate = 1.5 * 7

y coordinate = 10.5

Hence its y-coordinate is 10.5

Answer:

h(4)=-21

Step-by-step explanation:

h(v)=5x^2-28v+11

h(4)=5(4)^2-28(4)+11

h(4)=5(16)-112+11

h(4)=80-101

h(4)=-21

If this helps please mark as brainliest

Answer:

9 yards

Step-by-step explanation:

The Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]

Where a and b are legs, and c is the hypotenuse.

The hypotenuse is the side opposite from the right angle in the right triangle.

The hypotenuse would be AC, measured 15 yards, because it is opposite from the right angle. BC, the unmeasured side would be a leg. I can call that the "b" leg and AB, the 12 yard side the "a" leg.

Substitute the measures into the theorem to get: [tex]12^2+?^2=15^2[/tex]

[tex]144+?^2=225 ; ?^2=81; ?=\sqrt{81} =9[/tex]

Answer:

X=18

Step-by-step explanation:

since angles are supplementary that means their sum is 180

[tex]4x - 24 + 4(2x - 3) = 180 \\ 4x - 24 + 8x - 12 = 180 \\ 12x - 36 = 180 \\ 12x = 216 \\ x = 18[/tex]

Answer:

No, it does not.

Step-by-step explanation:

A linear function of x will form a straight (non-vertical) line on a graph.

This is caused directly by the equation

y = ax + b

For some constant a and b, which means that the rate of change is constant.

Answer:

a) 600,000 (1.018)ᵗ, the graph is below:

* "t" is the years. 2000 is the first year, so "t" would be 1. 2012 is the 12th year so "t" would be 12.

b) As the years go by, the population increases. The years (X), and population (Y) both increase together. The graph shows that when the years increase the population increases.

c) In 2012, which would be 12 years later, I predict the population would be around 743,232 people.

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZ

Answer:

x → +∞, y → +∞

x → -∞, y → -∞

Step-by-step explanation:

The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.

Answer:

62

Step-by-step explanation:

x+37+81=180, x=62